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1303441403340 = 2235411907277847
BaseRepresentation
bin10010111101111011001…
…010010110110111001100
311121121102001221212010010
4102331323022112313030
5132323421444401330
62434443120513220
7163112331060306
oct22757312266714
94547361855103
101303441403340
1146287176748a
12190747a7b810
1395bb608878b
1447130652976
1523d8b10a3b0
hex12f7b296dcc

1303441403340 has 96 divisors (see below), whose sum is σ = 3740625391104. Its totient is φ = 338927664640.

The previous prime is 1303441403279. The next prime is 1303441403353. The reversal of 1303441403340 is 433041443031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1303441403298 and 1303441403307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4552297 + ... + 4830143.

It is an arithmetic number, because the mean of its divisors is an integer number (38964847824).

Almost surely, 21303441403340 is an apocalyptic number.

1303441403340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303441403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870312695552).

1303441403340 is an abundant number, since it is smaller than the sum of its proper divisors (2437183987764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1303441403340 is a wasteful number, since it uses less digits than its factorization.

1303441403340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279807 (or 279805 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1303441403340 its reverse (433041443031), we get a palindrome (1736482846371).

The spelling of 1303441403340 in words is "one trillion, three hundred three billion, four hundred forty-one million, four hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1907 2460 3814 5721 7628 9535 11442 19070 22884 28605 38140 57210 78187 114420 156374 234561 277847 312748 390935 469122 555694 781870 833541 938244 1111388 1172805 1389235 1563740 1667082 2345610 2778470 3334164 4167705 4691220 5556940 8335410 11391727 16670820 22783454 34175181 45566908 56958635 68350362 113917270 136700724 170875905 227834540 341751810 529854229 683503620 1059708458 1589562687 2119416916 2649271145 3179125374 5298542290 6358250748 7947813435 10597084580 15895626870 21724023389 31791253740 43448046778 65172070167 86896093556 108620116945 130344140334 217240233890 260688280668 325860350835 434480467780 651720701670 1303441403340